Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks
The problem of decentralized observer-based event-triggered stabilization for an interconnected fractional-order system subject to stochastic cyber-attacks is studied. To address this issue, the decentralized event-triggered mechanism is proposed for the interconnected fractional-order system, where...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2024091?viewType=HTML |
| _version_ | 1827381811226869760 |
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| author | Zhaohui Chen Jie Tan Yong He Zhong Cao |
| author_facet | Zhaohui Chen Jie Tan Yong He Zhong Cao |
| author_sort | Zhaohui Chen |
| collection | DOAJ |
| description | The problem of decentralized observer-based event-triggered stabilization for an interconnected fractional-order system subject to stochastic cyber-attacks is studied. To address this issue, the decentralized event-triggered mechanism is proposed for the interconnected fractional-order system, where the event-triggered schemes are designed based on the states of fractional-order observers, and the stochastic attacks are considered both on control inputs and observer outputs. By combining decentralized observers and decentralized event-triggered controllers, we aim to achieve decentralized control with reduced amplifying error and use local signals to improve overall system performance. By utilizing the diffusive representation of the fractional-order system, the interconnected fractional-order system is transformed into an equivalent integer-order one to simplify the analysis and control design. Employing the Lyapunov indirect approach, a sufficient condition is obtained to guarantee the stochastic asymptotically stability of the augmented system. Additionally, by the singular value decomposition technique, the approach of simultaneously computing the decentralized observer gains and controller gains is presented. Finally, a simulation example is provided to validate the theoretical findings. |
| first_indexed | 2024-03-08T14:10:22Z |
| format | Article |
| id | doaj.art-ca0cc918cc614a989b167e608692fb96 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T14:10:22Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ca0cc918cc614a989b167e608692fb962024-01-15T01:24:07ZengAIMS PressAIMS Mathematics2473-69882024-01-01911861187610.3934/math.2024091Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacksZhaohui Chen0Jie Tan 1 Yong He 2Zhong Cao 31. School of Mathematics, Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China1. School of Mathematics, Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China1. School of Mathematics, Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China2. School of electronics and communication Engineering, Guangzhou University, Guangzhou 510006, ChinaThe problem of decentralized observer-based event-triggered stabilization for an interconnected fractional-order system subject to stochastic cyber-attacks is studied. To address this issue, the decentralized event-triggered mechanism is proposed for the interconnected fractional-order system, where the event-triggered schemes are designed based on the states of fractional-order observers, and the stochastic attacks are considered both on control inputs and observer outputs. By combining decentralized observers and decentralized event-triggered controllers, we aim to achieve decentralized control with reduced amplifying error and use local signals to improve overall system performance. By utilizing the diffusive representation of the fractional-order system, the interconnected fractional-order system is transformed into an equivalent integer-order one to simplify the analysis and control design. Employing the Lyapunov indirect approach, a sufficient condition is obtained to guarantee the stochastic asymptotically stability of the augmented system. Additionally, by the singular value decomposition technique, the approach of simultaneously computing the decentralized observer gains and controller gains is presented. Finally, a simulation example is provided to validate the theoretical findings.https://aimspress.com/article/doi/10.3934/math.2024091?viewType=HTMLinterconnected fractional-order systemevent-triggered controlobserverstochastic cyber-attacklyapunov indirect approach |
| spellingShingle | Zhaohui Chen Jie Tan Yong He Zhong Cao Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks AIMS Mathematics interconnected fractional-order system event-triggered control observer stochastic cyber-attack lyapunov indirect approach |
| title | Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks |
| title_full | Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks |
| title_fullStr | Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks |
| title_full_unstemmed | Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks |
| title_short | Decentralized observer-based event-triggered control for an interconnected fractional-order system with stochastic Cyber-attacks |
| title_sort | decentralized observer based event triggered control for an interconnected fractional order system with stochastic cyber attacks |
| topic | interconnected fractional-order system event-triggered control observer stochastic cyber-attack lyapunov indirect approach |
| url | https://aimspress.com/article/doi/10.3934/math.2024091?viewType=HTML |
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